%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN569-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:17:37 PM UTC 2026
% Result : Unsatisfiable 0.38s 0.26s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f3,negated_conjecture,
p8(c14,c12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
fof(f5,negated_conjecture,
p8(c11,c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_5) ).
fof(f6,negated_conjecture,
p9(c13,c15,c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ p8(X0,X1)
| p10(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_7) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X0)
| p2(X0,X1)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
fof(f11,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X2,X0,X3)
| p2(X0,X1)
| ~ p9(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
fof(f12,negated_conjecture,
! [X0] :
( ~ p10(X0,c12)
| p9(c13,f3(X0),X0)
| ~ p10(c11,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_12) ).
fof(f15,negated_conjecture,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_15) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3))
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ p8(X0,c12)
| ~ p8(c11,X0)
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_20) ).
fof(f21,plain,
p10(c14,c12),
inference(resolution,[],[f7,f3]) ).
fof(f23,plain,
p10(c11,c14),
inference(resolution,[],[f7,f5]) ).
fof(f27,plain,
! [X0] :
( ~ p9(c13,X0,c14)
| p2(c15,X0) ),
inference(resolution,[],[f11,f6]) ).
fof(f29,plain,
( p9(c13,f3(c14),c14)
| ~ p10(c11,c14) ),
inference(resolution,[],[f12,f21]) ).
fof(f40,plain,
p9(c13,f3(c14),c14),
inference(forward_subsumption_resolution,[],[f29,f23]) ).
fof(f44,plain,
p2(c15,f3(c14)),
inference(resolution,[],[f40,f27]) ).
fof(f51,plain,
! [X0] :
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),X0)
| p2(f4(f5(c12,c11),c15),X0) ),
inference(resolution,[],[f15,f10]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ p2(X1,X2)
| p2(f4(X0,X1),f4(X0,X2)) ),
inference(resolution,[],[f16,f1]) ).
fof(f77,plain,
( ~ p8(c11,c14)
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14))) ),
inference(resolution,[],[f20,f3]) ).
fof(f88,plain,
~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14))),
inference(forward_subsumption_resolution,[],[f77,f5]) ).
fof(f98,plain,
! [X0] : p2(f4(X0,c15),f4(X0,f3(c14))),
inference(resolution,[],[f55,f44]) ).
fof(f186,plain,
p2(f4(f5(c12,c11),c15),f5(f7(c13,c12),f7(c13,c11))),
inference(resolution,[],[f51,f1]) ).
fof(f247,plain,
! [X0] :
( ~ p2(f4(f5(c12,c11),c15),X0)
| p2(f5(f7(c13,c12),f7(c13,c11)),X0) ),
inference(resolution,[],[f186,f10]) ).
fof(f823,plain,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(c14))),
inference(resolution,[],[f247,f98]) ).
fof(f826,plain,
$false,
inference(forward_subsumption_resolution,[],[f823,f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN569-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n018.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 16:31:10 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.26 % (3523334)Will run a generic schedule for satisfiability detection.
% 0.38/0.26 % (3523344)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2973340889:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.38/0.26 % (3523340)% WARNING: option uhcvi not known.
% 0.38/0.26 % (3523341)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2894317887:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.38/0.26 % (3523339)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1152738722_2999 on theBenchmark for (2999ds/0Mi)
% 0.38/0.26 % (3523342)dis+10_1_sil=32000:sp=arity:random_seed=2822089973:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.38/0.26 % (3523340)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2539287739:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.38/0.26 % (3523343)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3884653051:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.38/0.26 % (3523345)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2708292250:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.38/0.26 % TRYING [1]
% 0.38/0.26 % TRYING [2]
% 0.38/0.26 % (3523344) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3523334-3523344"...
% 0.38/0.26 % (3523344)...printing done.
% 0.38/0.26 % TRYING [3]
% 0.38/0.26 % (3523344)Refutation found. Thanks to Tanya!
% 0.38/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.38/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.38/0.26 % (3523344)------------------------------
% 0.38/0.26 % (3523344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.26 % (3523344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.26 % (3523344)CaDiCaL version: 2.1.3
% 0.38/0.26 % (3523344)Termination reason: Refutation
% 0.38/0.26 % (3523344)Time elapsed: 0.009 s
% 0.38/0.26 % (3523344)Peak memory usage: 12 MB
% 0.38/0.26 % (3523344)Instructions burned: 26 (million)
% 0.38/0.26 % (3523334)Success in time 0.044 s
% 0.38/0.26 % Vampire exiting
%------------------------------------------------------------------------------